(1) Upon the suspension or revocation of a license pursuant to the provisions of s. 322.26 or s. 322.27, the department shall suspend the registration for all motor vehicles registered in the name of such person, either individually or jointly with another, except that it shall not suspend such registration, unless otherwise required by law, if such person has previously given or shall immediately give, and thereafter maintain, proof of financial responsibility with respect to all motor vehicles registered by such person, in accordance with this chapter.
(2) Such license and registration shall remain suspended or revoked and shall not at any time thereafter be renewed, nor shall any license be thereafter issued to such person, nor shall any motor vehicle be thereafter registered in the name of such person, until permitted under the laws of this state, and not then unless and until he or she shall give and thereafter maintain proof of financial responsibility as required by s. 324.071.